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Worst-case analysis and design of sampled-data control systems

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2 Author(s)
Kabamba, P.T. ; Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA ; Hara, S.

Sampled-data systems with continuous-time inputs and outputs, where some state variables evolve in continuous time and others evolve in discrete time, are considered. Methods are presented for computing and optimizing the L2-induced norm of such systems, considered as operators relating square integral signals. These worst-case analysis and design results are counterparts of the H-norm analysis and synthesis for purely continuous- or discrete-time systems. The analysis shows that the L 2-induced norm of a sampled-data system is smaller than γ if certain discrete-time descriptor systems have no eigenvalue of magnitude one, and if a certain discrete-time linear time-invariant plant depending on γ has H norm smaller than γ. The synthesis shows that the optimal attenuation problem for a four-block continuous-time plant with a digital controller can be solved with a γ-iteration on a certain discrete-time four-block plant which depends on γ

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 9 )